document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1018631>Question 1018631</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem: 13-(-5m+3)=3+3m-17 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #634714 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=634714\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the equation is:\r<BR>\n" );
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document.write( "13 - (-5m+3) = 3 + 3m-17\r<BR>\n" );
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document.write( "first remove parentheses.\r<BR>\n" );
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document.write( "- (-5m+3) is equivalent to -1 * (-5m+3) which is equal to (-1 * -5m) + (-1 * 3).\r<BR>\n" );
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document.write( "-1 * -5m is equal to 5m.\r<BR>\n" );
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document.write( "-1 * 3 is equal to -3.\r<BR>\n" );
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document.write( "- (-5m+3) is therefore equivalent to 5m - 3\r<BR>\n" );
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document.write( "your equation of 13 - (-5m+3) = 3 + 3m-17 becomes:\r<BR>\n" );
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document.write( "13 + 5m - 3 = 3 + 3m - 17\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "10 + 5m = 3m - 14\r<BR>\n" );
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document.write( "subtract 3m from both sides of the equation and subtract 10 from both sides of the equation to get:\r<BR>\n" );
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document.write( "5m - 3m = -14 - 10\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "2m = -24\r<BR>\n" );
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document.write( "divide both sides by 2 to get:\r<BR>\n" );
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document.write( "m = -12\r<BR>\n" );
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document.write( "that should be your solution if we did this correctly.\r<BR>\n" );
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document.write( "confirm by replacing m with -12 in the original equation of 13 - (-5m+3) = 3 + 3m-17 to get:\r<BR>\n" );
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document.write( "13 - (-5 * -12 + 3) = 3 + 3 * -12 - 17\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "13 - (60 + 3) = 3 - 36 - 17\r<BR>\n" );
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document.write( "simplify further to get:\r<BR>\n" );
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document.write( "13 - 63 = 3 - 36 - 17\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "-50 = -50\r<BR>\n" );
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document.write( "this confirms the solution is good.\r<BR>\n" );
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document.write( "the solution is m = -12.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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